85105516939920 has 400 divisors, whose sum is σ = 311560222976640. Its totient is φ = 21471380840448.

The previous prime is 85105516939903. The next prime is 85105516939951. The reversal of 85105516939920 is 2993961550158.

85105516939920 is a `hidden beast` number, since 8 + 5 + 1 + 0 + 5 + 516 + 9 + 3 + 99 + 20 = 666.

It is a super-2 number, since 2×85105516939920² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91012992 + ... + 91943328.

Almost surely, 2^{85105516939920} is an apocalyptic number.

85105516939920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85105516939920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155780111488320).

85105516939920 is an abundant number, since it is smaller than the sum of its proper divisors (226454706036720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85105516939920 is a wasteful number, since it uses less digits than its factorization.

85105516939920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931124 (or 931109 counting only the distinct ones).

The product of its (nonzero) digits is 26244000, while the sum is 63.

The spelling of 85105516939920 in words is "eighty-five trillion, one hundred five billion, five hundred sixteen million, nine hundred thirty-nine thousand, nine hundred twenty".